# Coordinate Geometry Proofs Packet 2012 H - GEOMETRY HONORS...

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GEOMETRY HONORS COORDINATE GEOMETRY Proofs Name __________________________________ Period _________________________________
Table of ContentsDay 1:SWBAT: Use Coordinate Geometry to Prove Right Triangles and Parallelograms Pgs: 2 5HW: Pgs: 6 9 Day 2:SWBAT: Use Coordinate Geometry to Prove Rectangles, Rhombi, and Squares Pgs: 10 - 12HW: Pgs: 13 15 Day 3:SWBAT: Use Coordinate Geometry to Prove Trapezoids Pgs: 16 - 17HW: Pgs: 18 19 Day 4:SWBAT: Practice Writing Coordinate Geometry Proofs Pgs: 20 - 22Day 5:SWBAT: Use Coordinate Geometry to Calculate the Area of Polygons Pgs: 23 - 26HW: Pgs: 27 28 #1a, 2a, 3a, 4a, 5, 7, 8a, 10 SUMMARY of “How To Prove” Each Type of PolygonPgs: 38 - 39 Coordinate Geometry Proofs EXAM
1 Coordinate Geometry ProofsSlope: We use slope to show parallel lines and perpendicular lines. Parallel Lines have the same slope Perpendicular Lines have slopes that are negative reciprocals of each other. Midpoint: We use midpoint to show that lines bisect each other. Lines With the same midpoint bisect each other Midpoint Formula: 2121,22yyxxmidDistance: We use distance to show line segments are equal. You can use the Pythagorean Theorem or the formula:
2 Day 1 Using Coordinate Geometry To Prove Right Triangles and ParallelogramsProving a triangle is a right triangle Method 1: Show two sides of the triangle are perpendicular by demonstrating their slopes are opposite reciprocals. Method 2: Calculate the distances of all three sides and then test the Pythagorean’s theorem to show the three lengths make the Pythagorean’s theorem true.